MathDB
SMT 2019 Geometry #7

Source:

August 8, 2023
geometry

Problem Statement

Let GG be the centroid of triangle ABCABC with AB=9AB = 9, BC=10,BC = 10, and AC=17AC = 17. Denote DD as the midpoint of BCBC. A line through GG parallel to BCBC intersects ABAB at MM and ACAC at NN. If BGBG intersects CMCM at EE and CGCG intersects BNBN at FF, compute the area of triangle DEFDEF.
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